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In the article the problem of output setpoint tracking for affine non-linearsystem is considered. Presented approach combines state feedback linearizationand homotopy numerical continuation in subspaces of phase space where feedbacklinearization fails. The method of numerical parameter continuation for solvingsystems of nonlinear equations is generalized to control affine non-lineardynamical systems. The illustrative example of control of MIMO system which isnot static feedback linearizable is given. Application of proposed methoddemonstrated on the speed and rotor magnetic flux control in the three-phaseasynchronous motor.

Switching strategy based on homotopy continuation for non-regular affine systems with application in induction motor control